Calibration Invariance of the MaxEnt Distribution in the Maximum Entropy Principle

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F21%3A00347064" target="_blank" >RIV/68407700:21340/21:00347064 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.3390/e23010096" target="_blank" >https://doi.org/10.3390/e23010096</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/e23010096" target="_blank" >10.3390/e23010096</a>

Result language

angličtina

Original language name

Calibration Invariance of the MaxEnt Distribution in the Maximum Entropy Principle

Original language description

The maximum entropy principle consists of two steps: The first step is to find the distribution which maximizes entropy under given constraints. The second step is to calculate the corresponding thermodynamic quantities. The second part is determined by Lagrange multipliers' relation to the measurable physical quantities as temperature or Helmholtz free energy/free entropy. We show that for a given MaxEnt distribution, the whole class of entropies and constraints leads to the same distribution but generally different thermodynamics. Two simple classes of transformations that preserve the MaxEnt distributions are studied: The first case is a transform of the entropy to an arbitrary increasing function of that entropy. The second case is the transform of the energetic constraint to a combination of the normalization and energetic constraints. We derive group transformations of the Lagrange multipliers corresponding to these transformations and determine their connections to thermodynamic quantities. For each case, we provide a simple example of this transformation.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10300 - Physical sciences

Project

<a href="/en/project/GA19-16066S" target="_blank" >GA19-16066S: Nonlinear interactions and information transfer in complex systems with extreme events</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Entropy

ISSN

1099-4300

e-ISSN

1099-4300

Volume of the periodical

23

Issue of the periodical within the volume

1

Country of publishing house

CH - SWITZERLAND

Number of pages

10

Pages from-to

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UT code for WoS article

000610106600001

EID of the result in the Scopus database

2-s2.0-85099283807